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Finding the Fourth Proportional to 19,562.14, 29,372.37 and 13,730.14

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Solution

The fourth proportional to 19,562.14, 29,372.37 and 13,730.14 is: 20,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,562.14 : 29,372.37 = 13,730.14 : x
  2. Step 2: Convert to fraction form
    19,562.14/29,372.37 = 13,730.14/x
  3. Step 3: Cross multiply
    19,562.14x = 29,372.37 × 13,730.14
  4. Step 4: Simplify right side
    19,562.14x = 403,286,752.23
  5. Step 5: Solve for x
    x = 403,286,752.23/19,562.14
  6. Step 6: Final answer
    x = 20,615.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.